Question

In triangle abc the measure of a is equal to the sum of the measure of angle b and angle C also the ratio of measure of Angle B an Embassy is 4 ratio 5 then find the measure of angle of triangle

Answer 1

Answer:

Please do correction in question as following:

The angle A of a triangle ABC is equal to the sum of other two angles.Also ,the ratio of the angle B to the angle C is 4:5. find the measure of each angle

Step-by-step explanation:

Let ∠A=a,∠B=b,∠C=c

a=b+c

2a=a+b+c=180

2a=180

a=90

90=b+c

b=90-c

now b/c=5/4

so 90-c/c=4/5

5*(90-c)=4c

450-5c=4c

9c=450

c=50

b=180-(90+50)=40

∠A=90 , ∠B=40 and ∠C=50